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Model Applied Situations with Matrix Operations
-Adjust the Contrast by Leaving

Question 96

Multiple Choice

Model Applied Situations with Matrix Operations
-Adjust the contrast by leaving the black alone and changing the light grey to dark grey. Use matrix addition to accomplish this.


A) [131131333]+[101101000]=[232232333]\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { l l l } 1 & 0 & 1 \\ 1 & 0 & 1 \\ 0 & 0 & 0 \end{array} \right] = \left[ \begin{array} { l l l } 2 & 3 & 2 \\ 2 & 3 & 2 \\ 3 & 3 & 3 \end{array} \right]

B) [131131333]+[111111111]=[232232333]\left[ \begin{array} { l l l } 1 & 3 & 1 \\1 & 3 & 1 \\3 & 3 & 3\end{array} \right] + \left[ \begin{array} { l l l } 1 & 1 & 1 \\1 & 1 & 1 \\1 & 1 & 1\end{array} \right] = \left[ \begin{array} { l l l } 2 & 3 & 2 \\2 & 3 & 2 \\3 & 3 & 3\end{array} \right]

C) [131131333]+[010010111]=[121121322]\left[ \begin{array} { l l l } 1 & 3 & 1 \\1 & 3 & 1 \\3 & 3 & 3\end{array} \right] + \left[ \begin{array} { r r r } 0 & - 1 & 0 \\0 & - 1 & 0 \\- 1 & - 1 & - 1\end{array} \right] = \left[ \begin{array} { l l l } 1 & 2 & 1 \\1 & 2 & 1 \\3 & 2 & 2\end{array} \right]

D) [131131333]+[111111111]=[121121322]\left[ \begin{array} { l l l } 1 & 3 & 1 \\1 & 3 & 1 \\3 & 3 & 3\end{array} \right] + \left[ \begin{array} { r r r } 1 & - 1 & 1 \\1 & - 1 & 1 \\- 1 & - 1 & - 1\end{array} \right] = \left[ \begin{array} { l l l } 1 & 2 & 1 \\1 & 2 & 1 \\3 & 2 & 2\end{array} \right]

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